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Finding the Fourth Proportional to 181.08, 271.49 and 89.69

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Solution

The fourth proportional to 181.08, 271.49 and 89.69 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.08 : 271.49 = 89.69 : x
  2. Step 2: Convert to fraction form
    181.08/271.49 = 89.69/x
  3. Step 3: Cross multiply
    181.08x = 271.49 × 89.69
  4. Step 4: Simplify right side
    181.08x = 24,348.13
  5. Step 5: Solve for x
    x = 24,348.13/181.08
  6. Step 6: Final answer
    x = 134.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.